Shouldn't there be a link to chat in the footer of the Stack Overflow page?

Is there any special reason why it doesn't appear, despite it being mentioned to be there?

Background:

I was trying to get more familiar with Stack Overflow; I was the checking my privileges and one of them is to talk in chat.
It took me a while to actually find the link to chat, as it just between help and logout in the menu switcher (at the right of the upper bar). I actually needed to check the privilege page to find it.
And then I got confused, as it there says:

There is a link to chat in the footer of every page, as well as in the Stack Exchange site switcher menu (top left corner of the page).